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20221040400 = 24352111531897
BaseRepresentation
bin10010110101010001…
…001001011100010000
31221012020110021200020
4102311101021130100
5312403041243100
613142303023440
71314045002361
oct226521113420
957166407606
1020221040400
118637282a40
123b03b9ab80
131ba341aa82
14d9b7c3b68
157d537e5a0
hex4b5449710

20221040400 has 120 divisors (see below), whose sum is σ = 70663390944. Its totient is φ = 4902067200.

The previous prime is 20221040383. The next prime is 20221040449. The reversal of 20221040400 is 404012202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20221040400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752749 + ... + 779148.

Almost surely, 220221040400 is an apocalyptic number.

20221040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221040400 is an abundant number, since it is smaller than the sum of its proper divisors (50442350544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221040400 is a wasteful number, since it uses less digits than its factorization.

20221040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531929 (or 1531918 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20221040400 its reverse (404012202), we get a palindrome (20625052602).

The spelling of 20221040400 in words is "twenty billion, two hundred twenty-one million, forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 1531897 3063794 4595691 6127588 7659485 9191382 12255176 15318970 16850867 18382764 22978455 24510352 30637940 33701734 36765528 38297425 45956910 50552601 61275880 67403468 73531056 76594850 84254335 91913820 101105202 114892275 122551760 134806936 153189700 168508670 183827640 202210404 229784550 252763005 269613872 306379400 337017340 367655280 404420808 421271675 459569100 505526010 612758800 674034680 808841616 842543350 919138200 1011052020 1263815025 1348069360 1685086700 1838276400 2022104040 2527630050 3370173400 4044208080 5055260100 6740346800 10110520200 20221040400